Increasing the number and accuracy of triangle creation in GEOPAK

I'm using dtm input from the Cross Section Reports.  I'd like the triangles from this to be a little finer for the geology surfaces I'm building.  I want to create more accuracy within the tin I create from it.  Ultimately, can I force certain points to be vertices of the triangles and can I get more vertices on the dtm?  I've tried breaking my geology lines into segments and it does alter the triangles, but not always in a positive way and not in the way I want. 

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